Don't take this the wrong way (or do)... you can't be lazy and make a project like this work. Google is your friend.
If you're talking about the Hyundai 1.6 that I was talking about, look it up. There's tons of info out there. Some of it easy to find, some of it isn't. Some of it is ACCURATE, and some of it ISN'T. Don't trust everything you read on a forum, especially if I said it. Go for factory sources, or at least find multiple sources for the same tidbit of info. Sucks to get way down a rabbit hole only to find out that your info was incorrect!
So, if we're talking about that Hyundai Gamma 1.6:
https://en.wikipedia.org/wiki/Hyundai_Gamma_engine
The NA versions seem to be around 130-140 hp. The turbo versions are 177-204.
If you want more accurate info... look up what cars used those engines and look up the specs on the specific cars. You know... the car you're likely to pick up as a donor. Therein lies your answer.
You wanna know if a Lancer was FWD? Look. It. Up. (spoiler: The EVO is a Lancer, it's AWD. I think the Ralliart may have been AWD, I don't know. The base Lancer is a FWD economy car. If I cared to know more... I'd Google it!)
Round numbers:
I think you can easily take almost any unmodified engine (including the Mirage 1.2), throw 4-6 psi of boost from a supercharger or turbo at it, and safely see 20-25% additional power without too much trouble. Most cars/engines are built with enough "headroom" to handle that without self-destructing. For the Mirage, that would be a boost from 78 to very near 100 hp.
If you then add some intercooling, and make sure you have enough fueling, and again... really good tuning... you could boost that unmodified engine up to around 8-10 psi and still be kinda sorta safe. Maybe. Depending on the engine. That would get you closer to 50% over stock power.
Beyond that, you're getting into either blowing stuff up, or doing lots of expensive internal engine mods.
BUT... if you're doing a crazy custom engine swap, it makes sense to just use something that's already got the power you want in its stock form rather than building your own turbo kit and tuning and all that.
What I was suggesting as an example was:
Simple, straightforward, NA 1.6 Gamma engine swap. Get that puppy in the car. Get it running. Get through all the driveline problems, electrical problems, cooling problems, etc, etc, etc.
THEN... if you want more power, get a Gamma engine that has a factory turbo on it (along with it's ECU, and any wiring that might be different) and drop it in. Mechanically, it will be a bolt-in swap for the 1.6 that you already fit into the car. So, it would be a much easier "upgrade" at that point. (and if the base engine is known to be identical to the turbo version, you could just bolt the factory turbo parts onto the original NA 1.6 engine)
Doing something like this in stages is a wise way to go. Just plan your stages from the beginning. Don't pick an engine that's a "dead end", if you think you're going to want to mod it further later. Like, don't pick a Saturn S series engine. GREAT engine... but you had the option of single cam 106 hp or twin cam 124 hp... that's all they ever did with it. Dead-end for future upgrades.
Do your homework. Even though some people might give you answers on forums... don't TRUST anybody to do your homework for you. Dig deep and learn stuff.