Google Search Console has Twice a week check in on Monday and Thursdays:
Tracking new external links and anchors via Ahrefs for all domains
Scanning sites with Screaming Frog spider - every Monday and Thursday.
Check sites with Google Page Speed every Monday and Thursday. In case of decrease of indicators urgently report.
Twice a week checking structured data on the sites using Extensions or Screaming Frog Spider
Checking if technical pages and service subdomains (dev, debug, stage) are closed from indexing in Robots.txt file and noindex tags
Checking robots.txt and sitemap files to detect hacking or malicious activity in a timely manner.
Checking the visibility of elements on the page by Google-bot. Styles and scripts should not block scanning of elements on the page. Especially the bot should see all headers of the site.
Checking the indexing of main and important product pages on websites - On Monday and Thursday.