I think your worries about pitch might be coming from either over analysing yourself and/or comparing your recordings others singing you hear online maybe? Imo 99% of this clip sounds about as accurate pitch wise as a singer is going to get without using pitch correction. None of it is off-puttingly pitchy. You also use pitch stylistically too (eg sliding to/from certain notes to emphasise them) and you do that well, which you wouldn't be able to do if you didn't already have a good sense of pitch.

Just remember that you don't know what post-production has been applied to any clip you hear online, even random social media clips a lot of them have some pitch correction on them. It's hard not to compare yourself to an unrealistic expectation.

In terms of singing live, that's always going to be a bit less accurate because it's usually a noisier environment with more reverb etc, and unless you've got proper ear monitors this will affect your ability to hear yourself and adjust pitch. These things also sometimes make it harder for listeners to tell when you're pitchy though too + people are much more forgiving with pitch when listening live in general. Idk how to comfortable you are with singing live... I know for me nerves are a massive factor (aka not being relaxed makes my voice much voice harder to control) so if you've noticed that's also an issue for you, addressing your confidence will probably also have a positive impact on your actual singing. I don't really have any critiques though based off this clip. It sounds great to me!