You have some options, but none of them really have a great outcome. The landlord lied to you, they’re probably not going to admit it or give you any concessions. You could ask, but I’d be prepared to not have your lease renewed. Most of the things you could do after that are kinda scorched earth.

For example, a building permit that’s open and not being worked on could be reported to the city. If the work happening in the space isn’t related to the space, that’s a problem.

You could argue that you’re not getting acceptable peace and quiet enjoyment with them starting work so early.

Depending on what they’re doing, it could be industrial not commercial, which might be a zoning violation.

With a construction site below you, your apartment might not technically be inhabitable because of the work they’re doing below you.