getting even cpu higher temps after cpu repair and cpu cooler downgrade to stock cooler!

[gendrake61]

so i went to replace the thermal paste on my cpu in my pc after i noticed the cpu was reaching 65+ degrees celsius up from 45 degrees celsius  and bent the 4 pins as i found out i put too much thermal paste and didn't allow it to cool, the heatsink got stuck and created a vacuum effect between the cpu lid and heatsink, wasn't thinking that instead of forcing it from the am4 socket, in the locked position that i could slowly wedge a small flathead between the cpu lid and new heatsink i installed previously (was the heatsink located here: PCCOOLER LGA1700/AM5 compatible 130mm fan TDP230W sideflow CPU cooler K4-BK   and had to take it to a local repair shop to fix the cpu or replace it, i ended up deciding to switch back to the hp factory installed cpu cooler and fan due to the fact that the upgraded cpu cooler was too big to put the case access cover back on. well, got it back today fully up and running (no internal damage to the am4 socket,cpu or mother board with the 4 pins fixed and bent back into place to fit properly in the socket, (was told that this vacuum effect and the mistake i made  is common in hp pcs with the amd cpu and am4 socket, so i'm not the first to do this and that generally i'm unlikely to damage the socket as the socket is tough, can't say the same thing for the cpu pins though as the repair technician said that as long as i had pulled straight up and not from the side that i wouldn't have bent the pins, i've done this twice, once when i replaced the stock cpu heatsink cooler and pulled straight up and the second time when i bent the cpu pins with the new.)

so now to the issue at hand, when i had originally replaced the stock heatsink and fan, i had taken the fan off the stock heatsink, saved the screws just in case and was thinking that i could use the heatsink fan as an extra fan and got a 4 pin cpu fan splitter to use the extra fan intake for the side, but never used it though as it just wouldn't fit on the vent on the case access panel vent which had a place to put a smaller intake fan. now the cpu is running from 65 to 75 degrees celsius (when not gaming) and up to 85 degrees celsius (when gaming) and i know the amd CPU's have a max operating temperature of 95 degrees celsius, which is scaring the crap out of me as originally it stayed at 45 to 50 degrees celsius when io first got it.) i put the fan back the original factory heatsink on blowing away from the heatsink and cpu  and yet its running hotter than when i had the upgraded cpu heatsink and thermal paste (thermal paste was rated at 12.4 W/mK, i was told before i left it with him as i requested arctic mx-6 high performance thermal paste be applied , but was told he only had arctic silver mx-5 which is rated at 9.8 W/mK and another brand rated at  14.4 W/mK, and it would take longer to repair it as he would have to order the mx-6  apparently, he installed the arctic silver mx-5 since i didn't want to wait that long, and never asked him to install the other brand as i just assumed he would do the higher rated one, and i didnt think to ask what rating the mx-5 is rated at, had to look that up online after i got the pc back.) my question is this:

did i put the cpu fan in the correct position, blowing away from the heatsink, original heatsink is a vertical model i believe, made out of aluminum  and the new uninstalled heatsink is a horizontal model with copper heatpipes and and aluminum fins.

also should i be worried about the temps, basically, should i have it taken back to the shop and have the higher rated thermal paste  put on. are these temperatures normal for the stock cpu cooler, or should the fan be placed blowing towards the heatsink and/or have the 14,4 W/mK be put on at the shop, or should i just leave it be and stop worrying so much? here are the specs for the desktop by the way, factory installed  cpu is the 

AMD Ryzen 5 5600G (Cezanne) 3.9 GHz base clock, up to 4.4 GHz max boost clock, 16 MB L3 cache, 6 cores

65 W

:HP Pavilion Gaming Desktop TG01-2019 PC Product Specifications