[Experiment] Product search block Elements API support

[frontdevde]

Note: Experiment, don't review. This is part of an exploration into how the Elements API functions and I mainly pushed this Draft PR to accompany a P2 post on the topic.

User Facing Testing

1. Build the latest Gutenberg from trunk (needs to include this change, which is not yet in the plugin).
2. Use Archeo: Try using button as an element Automattic/themes#5849 for the Archeo theme and activate it.
3. Check out this PR and use it to build WooCommerce Blocks.
4. Create a new page and add the Product Search block to your page. The submit button should have the Elements API properties defined in the Archeo theme applied.

before	after

[github-actions]

Size Change: +87 B (0%)

Total Size: 865 kB

Filename	Size	Change
build/all-products.js	33.5 kB	+1 B (0%)
build/product-search.js	2.21 kB	+26 B (+1%)
build/single-product.js	10.1 kB	+1 B (0%)
build/wc-blocks-editor-style-rtl.css	5.08 kB	+5 B (0%)
build/wc-blocks-editor-style.css	5.08 kB	+5 B (0%)
build/wc-blocks-style-rtl.css	22.2 kB	+26 B (0%)
build/wc-blocks-style.css	22.2 kB	+23 B (0%)

ℹ️ View Unchanged

Filename	Size
build/active-filters-frontend.js	6.59 kB
build/active-filters.js	7.57 kB
build/all-products-frontend.js	18.1 kB
build/all-reviews.js	7.79 kB
build/attribute-filter-frontend.js	17.7 kB
build/attribute-filter.js	13.9 kB
build/blocks-checkout.js	17.4 kB
build/cart-blocks/cart-accepted-payment-methods-frontend.js	1.16 kB
build/cart-blocks/cart-express-payment-frontend.js	5.06 kB
build/cart-blocks/cart-items-frontend.js	298 B
build/cart-blocks/cart-line-items--mini-cart-contents-block/products-table-frontend.js	5.27 kB
build/cart-blocks/cart-line-items-frontend.js	433 B
build/cart-blocks/cart-order-summary-frontend.js	1.11 kB
build/cart-blocks/cart-totals-frontend.js	322 B
build/cart-blocks/empty-cart-frontend.js	347 B
build/cart-blocks/filled-cart-frontend.js	785 B
build/cart-blocks/order-summary-coupon-form-frontend.js	2.62 kB
build/cart-blocks/order-summary-discount-frontend.js	2.13 kB
build/cart-blocks/order-summary-fee-frontend.js	272 B
build/cart-blocks/order-summary-heading-frontend.js	455 B
build/cart-blocks/order-summary-shipping--checkout-blocks/order-summary-shipping-frontend.js	6.34 kB
build/cart-blocks/order-summary-shipping-frontend.js	427 B
build/cart-blocks/order-summary-subtotal-frontend.js	273 B
build/cart-blocks/order-summary-taxes-frontend.js	432 B
build/cart-blocks/proceed-to-checkout-frontend.js	1.15 kB
build/cart-frontend.js	45.4 kB
build/cart.js	44.2 kB
build/checkout-blocks/actions-frontend.js	1.41 kB
build/checkout-blocks/billing-address--checkout-blocks/shipping-address-frontend.js	4.12 kB
build/checkout-blocks/billing-address-frontend.js	891 B
build/checkout-blocks/contact-information-frontend.js	2.84 kB
build/checkout-blocks/express-payment-frontend.js	5.35 kB
build/checkout-blocks/fields-frontend.js	344 B
build/checkout-blocks/order-note-frontend.js	1.07 kB
build/checkout-blocks/order-summary-cart-items-frontend.js	3.66 kB
build/checkout-blocks/order-summary-coupon-form-frontend.js	2.78 kB
build/checkout-blocks/order-summary-discount-frontend.js	2.25 kB
build/checkout-blocks/order-summary-fee-frontend.js	275 B
build/checkout-blocks/order-summary-frontend.js	1.11 kB
build/checkout-blocks/order-summary-shipping-frontend.js	604 B
build/checkout-blocks/order-summary-subtotal-frontend.js	273 B
build/checkout-blocks/order-summary-taxes-frontend.js	431 B
build/checkout-blocks/payment-frontend.js	7.66 kB
build/checkout-blocks/shipping-address-frontend.js	996 B
build/checkout-blocks/shipping-methods-frontend.js	4.72 kB
build/checkout-blocks/terms-frontend.js	1.22 kB
build/checkout-blocks/totals-frontend.js	326 B
build/checkout-frontend.js	47.6 kB
build/checkout.js	45.5 kB
build/featured-category.js	13.2 kB
build/featured-product.js	13.5 kB
build/handpicked-products.js	7.39 kB
build/legacy-template.js	2.45 kB
build/mini-cart-component-frontend.js	16.6 kB
build/mini-cart-contents-block/empty-cart-frontend.js	364 B
build/mini-cart-contents-block/filled-cart-frontend.js	229 B
build/mini-cart-contents-block/footer--mini-cart-contents-block/products-table-frontend.js	4.69 kB
build/mini-cart-contents-block/footer-frontend.js	5.75 kB
build/mini-cart-contents-block/items-frontend.js	225 B
build/mini-cart-contents-block/products-table-frontend.js	290 B
build/mini-cart-contents-block/shopping-button-frontend.js	288 B
build/mini-cart-contents-block/title-frontend.js	367 B
build/mini-cart-contents.js	22.9 kB
build/mini-cart-frontend.js	1.72 kB
build/mini-cart.js	6.62 kB
build/price-filter-frontend.js	12.5 kB
build/price-filter.js	8.9 kB
build/price-format.js	1.19 kB
build/product-add-to-cart--product-button--product-category-list--product-image--product-price--product-r--a0326d00.js	223 B
build/product-add-to-cart--product-button--product-image--product-title.js	2.66 kB
build/product-add-to-cart--product-button.js	565 B
build/product-add-to-cart-frontend.js	6.96 kB
build/product-add-to-cart.js	6.64 kB
build/product-best-sellers.js	7.48 kB
build/product-button--product-category-list--product-image--product-price--product-rating--product-sale-b--e17c7c01.js	499 B
build/product-button-frontend.js	1.85 kB
build/product-button.js	1.09 kB
build/product-categories.js	2.78 kB
build/product-category-list-frontend.js	922 B
build/product-category-list.js	502 B
build/product-category.js	8.59 kB
build/product-image-frontend.js	1.84 kB
build/product-image.js	1.07 kB
build/product-new.js	7.76 kB
build/product-on-sale.js	8.08 kB
build/product-price-frontend.js	1.94 kB
build/product-price.js	1.5 kB
build/product-rating-frontend.js	1.15 kB
build/product-rating.js	731 B
build/product-sale-badge-frontend.js	1.09 kB
build/product-sale-badge.js	679 B
build/product-sku-frontend.js	380 B
build/product-sku.js	381 B
build/product-stock-indicator-frontend.js	1.03 kB
build/product-stock-indicator.js	621 B
build/product-summary-frontend.js	1.33 kB
build/product-summary.js	918 B
build/product-tag-list-frontend.js	913 B
build/product-tag-list.js	495 B
build/product-tag.js	8.12 kB
build/product-title-frontend.js	1.29 kB
build/product-title.js	908 B
build/product-top-rated.js	8 kB
build/products-by-attribute.js	8.69 kB
build/reviews-by-category.js	11.3 kB
build/reviews-by-product.js	12.4 kB
build/reviews-frontend.js	7.02 kB
build/single-product-frontend.js	21.5 kB
build/stock-filter-frontend.js	7.32 kB
build/stock-filter.js	7.24 kB
build/vendors--cart-blocks/cart-line-items--cart-blocks/cart-order-summary--cart-blocks/order-summary-shi--c02aad66-frontend.js	5.26 kB
build/vendors--cart-blocks/cart-line-items--checkout-blocks/order-summary-cart-items--mini-cart-contents---233ab542-frontend.js	3.14 kB
build/vendors--cart-blocks/order-summary-shipping--checkout-blocks/billing-address--checkout-blocks/order--5b8feb0b-frontend.js	4.75 kB
build/vendors--cart-blocks/order-summary-shipping--checkout-blocks/billing-address--checkout-blocks/order--decc3dc6-frontend.js	20.5 kB
build/vendors--mini-cart-contents-block/footer-frontend.js	6.86 kB
build/vendors--product-add-to-cart-frontend.js	7.54 kB
build/wc-blocks-data.js	9.87 kB
build/wc-blocks-google-analytics.js	1.56 kB
build/wc-blocks-middleware.js	930 B
build/wc-blocks-registry.js	2.7 kB
build/wc-blocks-shared-context.js	1.52 kB
build/wc-blocks-shared-hocs.js	1.14 kB
build/wc-blocks-vendors-style-rtl.css	1.28 kB
build/wc-blocks-vendors-style.css	1.28 kB
build/wc-blocks-vendors.js	59 kB
build/wc-blocks.js	2.63 kB
build/wc-payment-method-bacs.js	816 B
build/wc-payment-method-cheque.js	811 B
build/wc-payment-method-cod.js	909 B
build/wc-payment-method-paypal.js	837 B
build/wc-settings.js	2.61 kB

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