...Turkey is not bothered anymore by the Greeks, no matter how many advanced fighters they buy. Hundreds of SOM's and Bora's will prevent any Greek air-superiority over the Aegean.
A Turkish carrier is not primarily for a prospected war against any of the major powers, but it'll act like the long arm of the growing Turkish power. It comes in very handy when Turkey needs to suppress an enemy group or small nation that threatens its interests. A carrier sailing along the coast of Libya would've prevented the LNA from ever going on an offensive. A carrier sailing in front of the UAE coast would've made the Emirates think twice to support anti-Turkish causes. A Turkish carrier moored in Qatar will make the Saudi's think trice to invade Qatar. These are the cases wherein Turkey needed a carrier, let alone the growing need in the coming years.
As for the space program, Turkey is probably going to use Somalia as a space port because it is close to the equator. No need to explain what a carrier can do in such a volatile and tense region.
As for your 'arguments' about the capability of carrier drones and a carrier variant of the Hurjet and space-budget, I won't even bother replying to them.
A Turkish carrier is just the thing other countries hope to happen - especially those antagonistic to Turkey. They will use the carrier to justify increasing Naval presence near Turkey and escalate spending on weapons.
Nations around Turkey ( you didn't Include Israel but we all know Turkey has issues with Israel) will arm up with weapons not available to Turkey ( F35, Rafale etc). Can Turkey afford to escalate? Does it have the economy to escalate?
The most incredible thing however is that Turkey consider, in the background of all these hostilities, some nations like US, UK, Germany etc as allies. Little kids could figure out the folly behind this idea.Turkish carrier with Hurjet and UAVs is not all that powerful as you think.
Consider trying not be like a Jai Hind.