Maximizing DVB-T Signal Strength for TV2 Without Impacting TV1: Possible Low-Cost Methods?

Hello,
I have a problem with the signal strength on TV2 because it is very low.
The TV1 goes with a shorter cable and the signal strength was average, and thanks to the amplifier it is high, it is also OK.
What to do, what to use at the lowest possible cost to strengthen the signal strength on TV2?
TV2 is turned on sporadically, also it is best if the possible amplifier / power supply was located in the room where TV2 stands and would only amplify the signal in it. My point is that when TV2 is turned off, the possible amplifier / power supply should not be connected to the network without any need and that it would not affect TV1 because TV1 basically uses SAT TV anyway, and DVB-T is an addition.
Changing the antenna is unlikely to help here, because the 3-4 dB gain will not help.

The installation at the moment looks like this:

Depending on the antenna - if the new one would give you 5dB gain, it would definitely be better.
If you do not have long cables, and if they are old or flooded / damp (unfortunately you cannot see it), it is best to replace them ... Cables are the basis ...

What a problem to give an amplifier before a splitter or an active splitter.

Cables, antenna, the whole installation is new.

@LeDy what exactly do you propose
Something behind a splitter on TV2 would suit me better, but I am open to all ideas.

I have an antenna on my roof and LNA-177 in it instead of a symmetrizator. Immediately in the attic, I have a power supply before an ordinary splitter. Zero hassle and 96 valid channels when searching

I solved the problem.
I will use the APL-109M "AMS" loop-through amplifier screwed to the splitter, plus a regulated power supply at the TV2.
This is exactly what I meant.
Allegro offer No. 3171318129