Does hot water also run on gas? For us (four people), that accounts for about 1/3. So if fewer people live there in the future, it will be cheaper.
With this consumption, I would take the risk if I were you. A few optimization measures have already been mentioned. Yes, the gas price will probably rise (I just secured 6.9 cents per kWh...). But not infinitely, as long as 50% of households are heated with gas. And even if the price doubles, you will still be better off than spending 100,000 EUR more on another house.
By the way, what saved us about 2,000 kWh of gas:
* Less water consumption (water-saving shower head - lower the supply temperature for hot water).
* Do not run circulation all day and also switch off water heating occasionally.
* Programmable radiator thermostats (the cheap ones for 10 EUR - when I wanted to buy some in 2022, the "smart" ones were outrageously expensive).