Shopify Hydrogen Log Drain Support for Sentry Logging

You can now send structured logs to Sentry! See the docs [here](https://docs.sentry.io/product/explore/logs).

This issue tracks support log drains from Shopify Hydrogen. If you're interested in Shopify Hydrogen support, please react to this issue and leave a comment about your use case. That will help us prioritize this accordingly.

ref https://shopify.dev/docs/storefronts/headless/hydrogen/logging

Start by reading the Sentry Logs documentation and the Shopify Hydrogen logging reference linked in the issue. Then inspect the repository for existing log-drain integrations, since no files or tests are named. Done should mean an agreed implementation for receiving Shopify Hydrogen structured logs through a Sentry log drain, with corresponding coverage.

Written by the indexing model from the issue text.