Google Search Console has a weekly check in on Thursdays:
Tracking new external links and anchors via Ahrefs
Scanning sites with Screaming Frog spider - every Wednesday.
Check sites with Google Page Speed every Wednesday. In case of decrease of indicators urgently report.
Checking structured data on the site using extensions or 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.