Use your melees attacks in order to regen mana per auto after you leveled your W,
Controlling your mana output on Jayce is incredibly important and if it's too hard feel free to go buscuits until you're more comfortable with it.

SPAM YOUR R AND RANGED EGOING TO LANE TO GET THERE FASTER, abuse the jayce 0.5 ms passive per swap and spam your R whilst going to lane to get there faster, also use your ranged E to get there faster, consuming mana to get to lanes quicker can also be considered an ability.

Jayce E pushes enemies further away depending on how close they are, this difference is HUGE, if a nasus is chasing you and you are going to take a Q hit anyway, walk that extra bit closer to him to use your E for a phase rush proc.

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Lets see what chatGPT says about jayce

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Winning in the toplane as Jayce in League of Legends requires good mechanics, game sense, and decision-making skills. Here are some tips that might help you win as Jayce:

Manage your mana: Jayce is a mana-hungry champion, and spamming his abilities can quickly deplete his resources. Try to use your abilities sparingly and focus on last-hitting minions with your basic attacks whenever possible. Also, consider purchasing mana items such as Tear of the Goddess or Sheen.

Poke your opponent: Jayce is a ranged champion with excellent poke potential. Try to use your Shock Blast and To the Skies! combo to harass your opponent and slowly chip away at their health. However, be mindful of your position and avoid taking unnecessary damage in return.

Control the wave: Try to freeze the wave near your turret by last-hitting minions and avoiding pushing the lane. This will force your opponent to overextend and make them vulnerable to ganks. You can also use your ranged form to clear minions quickly and push the wave if you need to reset or roam.

Roam and assist your team: Jayce is a versatile champion that can make plays in other parts of the map. Keep an eye on the minimap and look for opportunities to gank other lanes or secure objectives such as dragons or Rift Herald.

Build according to the situation: Jayce can be built in different ways depending on the situation. If you're ahead, consider building lethality items such as Youmuu's Ghostblade or Duskblade of Draktharr. If you're behind or need more survivability, consider building Black Cleaver or defensive items such as Guardian Angel or Randuin's Omen.

Remember that winning in League of Legends requires teamwork and coordination with your team. Communicate with your teammates, follow up on their plays, and don't hesitate to ask for help if you need it. Good luck!

(AA means auto attack/basic attack)
(Ranged means you're starting in Ranged form)
(Melee means you're starting in Melee form)

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Ranged

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Ranged Q-E is the standard Accellerated shockblast.

Ranged Q Flash AA, if you press Q then flash immediately after it will animation cancel and you can then AA as the Q travels from your new flash position.

Ranged Q Flash E, this is especially good for targets who believed they're out of your Q range and you know it will kill/ they cannot dodge.

Ranged AA W (AA)x3, Auto attack before using your ranged W in order to auto reset.

Ranged Q E W R Q W (AA)x3 E, this is using your ranged w's attack speed increase in melee form in order to do a complete all in, this combo is especially good for conqueror stacks as each sped up auto counts as a melee stack but I'm not fond of conqueror.

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Melee

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Melee Q Flash E, this combo will let you push enemies into your team or under your turret, reminder that the closer you are to them the further your E will throw them, try it out in practice tool.

Melee Q W AA AA E, after you proc your phase rush you can simple run behind the enemy to push them back to your team aswell, two AA may or may not be necessary to proc phase rush as Jayce W doesn't proc it sometimes.