There is the other post that advise not to set the temperature above 300 deg.C
And he only ended with adjusting the trimpot. Take a look.
https://www.eevblog.com/forum/repair/atten-8586-tip-is-glowing-red/Don't plug in. Firstly verify that the live is not shorted to any metal part of the iron by measuring continuity with a multimeter. Verify that earth is connected to the metal part.
Don't plug in the soldering iron.
Verify that the triac is not short-circuited by measuring across the 2 main terminals (The left 2 terminal) of the triac. If shorted, the iron will glow red hot, regardless of your temperature setting.
Re-assemble the unit.
Then;
Turn-on. Set temperature to say 120 deg.C, then turn if off. Plug in the new soldering iron. Turn it on. Quickly use your hand feel the heat and confirm that the iron is heating up.
If not, likely the triac bt137-600E is burned. You will need to open up and change the triac/check it.
Don't set temperature above 300 deg.C. otherwise you will need to calibrate the trimpot and with a Hakko FG100.