No you don't need Turbo Tax Business to enter a K-1 you received. It goes on your personal return. You needed to use the Online Premium version or any of the personal Desktop programs to enter a K-1. Online for 2024 is now closed.
How to Amend the current year
https://ttlc.intuit.com/turbotax-support/en-us/help-article/tax-return/amend-federal-tax-return-curr...
To enter a K-1 go to
Federal Taxes Tab or Personal (Home & Business version)
Wages and Income
Then scroll way down to S-Corp, Partnerships and Trusts
Schedules K-1 - Click the Start or Update button
Be sure to pick the right kind of K-1. There are 3 kinds, 1041, 1065 & 1120S
