I'm afraid you can't just unilaterally treble the rent, @DareIask .
I rented some years ago. Landlord wanted to sell, offered me first refusal & I declined as the price was too high, although I was looking to buy in the area by then & the house was nice enough - I would definitely have considered it to save the hassle of moving, but we couldn't agree a price.
He then sold to a new landlord instead, who wanted to increase the rent. I said no, but I was actively house hunting & I'd be looking to move as soon as I'd found a property to buy.
New landlord gave me notice to leave if I wouldn't pay the inflated new rent.
I contacted the letting agency & explained that he could continue to accept current rent & hopefully me getting out of his hair within 6 months, or he could go ahead & try to evict me, but I'd still be paying the rent in my existing contract. & probably not nearly so amenable about facilitating viewings by potential replacement tenants.
He wisely decided that 6 months was fine. I found & completed on a house within this timeframe, moved out ASAP & left him to see if he could find another tenant for the rent he was looking for. (FWIW it turned out he couldn't, & the property was advertised locally for several months before he dropped the rent back to pretty much the level he'd been getting from me).
The main differences these days are a) covid & b) rents are rising. I moved on causing minimal embuggerance to my landlord because I was happy to & fortunate enough to be able to. These days, lots of people can't.
If I'd been stuck, well, we would both have been stuck with each other for longer.
It was a business transaction: he owned the house as an investment, & whilst he wanted more rent, it wasn't worth his while to start eviction proceedings so long as I was keeping the place tidy, paying the rent originally agreed & clear with him that I'd be out of there at my earliest convenience.
I'm afraid his convenience & profits were not my concern.