Rep

Don't add the gas just because you saw his probe, it's too late then. That way you delay your factory and cc in both bo's. xD You gotta remember that if he steals your gas, you get a faster expo than him, just gotta defend.

2nd supply was also late, and don't build it at the front, it's easy goon pickings, plus you can't repair the bunker from that side later. Try to not get so flustered from the probe and seeing the zealot. @ 3:02 you could have moved the marine away from your base to drag the zealot away with you, instead of trying to move back an almost dead marine. If he doesn't follow, you can return the marine back, but if he follows, you've bought yourself some more time. lel 400 gas before expo, those could have been minerals. xD

You don't scout after that, and that's the most important thing you could be doing now - you're in the blind: did he expo? is he 2 gating? is he going robo? is he going citadel? You have no idea what he's doing, so you cannot adapt to cut corners and gain little advantages, you gotta play a generic style that's safe against everything. Eg. if he went DTs, which is common with an opening zealot, you'd be dead, because you chose to skip the ebay in favor of a 2nd fact.

That tank poke was too risky, if he was more alert, he'd snipe it immediately, he wouldn't even need to run in after it. If you're so behind, you want to siege it on the cliff above. Siegeing that 2nd tank so close to the edge of the cliff is very risky, if he had an obs instead of the expo, he could have tried to snipe the tank.

At 9:00, you didn't even poke to see how many goons there are. In this case, you could have done some probe damage. But I guess scouting if he has a 3rd base is not bad.

The armory +1 is a bit weird like drag said. You're not even producing from all your facts. I guess you wanted to do a quick push from 5 facts, but then the +1 doesn't make much sense, especially since you're so behind. Just skip the +1 and do the push with more units.

Btw, if the guy went for a shuttle bust, you'd be dead right now (you're still kinda in the dark). You scouted that he's not making a 3rd, you gotta be extra alert for a bust. You made a too early academy imo. Turrets would have been better, they deny obs, shuttles, bodyblock units, plus they build more quickly and are cheaper (easier to make more facts/units early on to defend). I'd make the academy just a bit before pushing, but since he didn't make a 3rd yet, it makes no sense to push, and hence, no sense to make an academy yet. You can think of making an early academy if you take no damage, but I still prefer turrets and scouting with vults.

Good, at 9:40 you scouted a shuttle and are preparing a defense @ nat, but you forgot to macro units, which is also equally important. xD

You didn't scout your flank while going out. If that was me playing protoss, I'd be on your tanks from the south, and rest of the units from the east.
You always have to mine your flanks, or at least send a unit to scout it.

When he dropped zealots on you from the shuttle, you could have unsieged, there were no dragoons around. Dunno if you were macroing or what.

You won a big fight, you should be pushing his nat and trying to end the game, or at least choke him out a bit so he bleeds units. But you push his 3rd instead, giving him free reign to move his units, backstab you (to either kill your production or prevent reinforcements) or just make a nice setup to break your push. You split your units so some go to the 3rd, so you lost the 2nd fight. Never split your army while your unit count is so low, unless you know what you're doing. If you maybe mined his bridge, made a turret there, and put some tanks behind it all, you could send a few units to the expo if you really wanted, but at that point it's better to just push in anyway.

Ok, you killed his units again, no idea why you're not trying to push his nat @ 14:45 - he has no units. Scan his expo when you win a fight, you'll see if it makes sense to attack. If he has a lot of units in his nat, you prepare a defense and know what to expect. Also, you're not making scvs. I don't need to watch after that, you're not attacking the nat, your macro falters, and you dragging it because of both. You also probably should have expanded sooner, but you didn't have money because you were not making scvs. You can still win at 20:00, but you stopped macroing again. If you didn't miss your macro cycle, you'd defend that attack at 21:50 much better. He's practically dead, but your lack of macro is making this take too long.

You gotta keep in mind that mid and late game, macro is very very important, especially when pushing.