Jetpack search overlay: displayed product prices exclude tax

### Impacted plugin

Jetpack

### Quick summary

When using Jetpack Search, the product prices displayed in the search overlay do not include tax, leading to a discrepancy between the search results and the actual product page prices.

Issue was initially reported here: https://github.com/Automattic/jpop-issues/issues/9385
By this user: 9101440-zd-a8c

### Steps to reproduce

Here are two screenshots from the user's site who reported this:


### A clear and concise description of what you expected to happen.

The search overlay should display the full product price, including tax, for consistency with the product page.

### What actually happened

The search overlay only displays the product price excluding tax.

### Impact

All

### Available workarounds?

No and the platform is unusable

### If the above answer is "Yes...", outline the workaround.

- This was replicated on a test site using WooCommerce and Jetpack Search (@jos22).
- It is unclear if the issue arises due to missing synced data or a limitation in the current Jetpack Search integration.
- Devs suspect additional options from WooCommerce need to be synced for accurate price calculations (@gibrown).

### Platform (Simple and/or Atomic)

_No response_

### Logs or notes

_No response_

Start with the WooCommerce and Jetpack Search integration on the replicated test site, then compare the overlay price with the product-page price under tax settings. Check whether the WooCommerce options needed for tax calculations are synced; done means the overlay includes tax and matches the product page.

Written by the indexing model from the issue text.