Update `@woocommerce/eslint-plugin` dependency to version 2.2.0

[jbordonado]

Description

We want to update the @woocommerce/eslint-plugin package to a more recent version, the one being used by our minimum supported version of WooCommerce:

• Current version: 1.1.0
• Target version: 2.2.0

Acceptance criteria

• The review process from the dependencies doc was followed and now has an entry for this package with all the relevant details for future iterations

Dev notes

Run npm install --save-exact <packageName@version> to update a package by an exact version.

Manual UI checks or/and E2E tests don't have any added value here because we're using the bundled version in WordPress, and updating the version locally will not impact the version used when using WCPay.

[deepakpathania]

Asked FE guild for their opinion on how to proceed: p1683805123267739-slack-C053VQPD74J

[deepakpathania]

Draft PR: #6283
To be picked either in cooldown later or by FE guild if they have the bandwidth later, discussion: p1683801123052879-slack-C052F9CCVT9