League of Legends (LoL) Question: After Tear what should I build?

As L3gislacerator said to me once, as Taric you should not focus on damage, instead you should focus on supporting your team.

I think Taric have problems with mana only ealry-mid game. you should not upgrade your tear until it the last item you can improve.
Seraph's Embrace don't give you any usefull healing power as you get 1350 mana in level 18 and from the item you get 1400, so in total it is 2750 mana, and 3% from it is just 81 ap bonus and only 20% from it go into healing so it 16.2 more health per charge. I personally think it not worth it.

Muramana on the other hand gives you basic attack damage that it gives more power as Taric based on fast basic attacks. But still i think it not worth it.

I recommend to finish the build with one more utility support item or tank item such as frozen heart.

late game it feels like Taric have enough mana and you can recall after each fight to restore it. But remember it better to have a full item then nothing so i upgrade to Muramana often. (don't get the chance to sell it and buy other item)

Both upgrades to tear are terrible on Taric tbh. Best items on him are armor/CDR items and support items. Frozen Heart/ Iceborn Gauntlet can take care of any mana issues. If you want a healing enhancer Ardent Censer is better than archangel's.

instead of tear and its two upgrades why don't you go for a catalyst of aeons then an Abyssal Mask, or the better option would be to buy glacial shroud into Zeke's Convergence. Their aren't really that many mana problems for Taric anyway