If I'm receiving data into a Webhook table, and I want to push that data to another table where all of my formulas and enrichments live, what's the best way to send it?

Use Send Table Data - it's our new recommended method for moving data between tables. Set it up from your webhook table (the source): click Actions → Send table data, select your destination table, choose "Send row" method, and map the columns you want to transfer. [clay.com Write to Table is the legacy option that's being deprecated. Send Table Data is much cleaner for your workflow. [clay.com