@Marcos595 What the Terms of Service on Airbnb have to say about the matter:
2.3 Accommodation Reservations. An Accommodation reservation is a limited license to enter, occupy, and use the Accommodation. The Host retains the right to re-enter the Accommodation during your stay, to the extent: (i) it is reasonably necessary, (ii) permitted by your contract with the Host, and (iii) consistent with applicable law.
Personally, I think your hosts' behavior here was totally out of line, and you'd be well within your rights to cut your stay short and relocate. But when it comes to the law, I'm not so sure - tenancy protections don't generally extend to short-term stays, so in most places your rights as a renter are about the same as those a hotel guest has. And indeed, if you're staying at a hotel, the staff can enter your room at any time without your expressed permission.
How to best proceed here really depends on the result that you want. If you'd like to complete your stay despite the discomfort, it doesn't seem like too much to ask that you stop wastefully leaving the A/C on while you're out of the home. The hosts should have been clear about their position on this in the House Rules, and it's mostly their fault if they weren't, but now that you know this is unacceptable to them you have no good reason not to respect their wishes.
If you want to terminate the booking and get refunded for your unused nights, you can try submitting a change request to move up your checkout date: https://www.airbnb.com/help/article/913/how-do-i-change-a-reservation-for-a-place-to-stay
If the host is not cooperative, you can bolster your point about the hosts' unexpected re-entry by focusing it squarely on the fact that they didn't inform you before entering your privately rented space. You do yourself no favors by saying they "stole" the A/C remote, because they own that device - not you. Same goes for the apartment. It is not "your" apartment in any sense that holds water legally; it's theirs, so this is a matter of irreconcilable differences rather than theft and home invasion.