All tips are made from copper, thus can easyly be reshaped.
BUT the copper will slowly dissolve in the solder, what not only will need reshaping but also will alter the solder. Especially in amateur use, not at the conveyor belt, where the iron most time is heated idle.
On the long termn tips are benefitial that are coated (Chromion on Iron on Copper).
I don’t know how heat sensitive everything is around the area you are trying to repair, but you might consider solder paste and a hot air gun. The past is applied with a syringe and is just flux with solder particles in it. When heated the particles melt and then solidify. Usually you put the circuit board on a hot plate to get it hot, but it might work with just a hot air gun.
Unfortunately, while trying to understand the wiring scheme, I discovered that service manual has an abysmal resolution. Therefore I have halted repair attempts until I find a better manual, if any at all
I have fixed it using a regular soldering iron. I just thinned down the hot end and tried not to burn my hands in the process. No glue or epoxy were used, but if the contact loosens, I will refer to those.