You will now be able to see the linkage which is operated when you close the lid. The vertical section has 2 tabs which are a very loose fit in a vertical channel, causing it to jam all too easily.

Clean off any existing lubrication or dirt, and apply a very thin smear of silicone grease to the tabs or the sides of the channel. Check for smooth operation.

If this was the problem, you can now reassemble the printer, following the same procedure in reverse.

If the linkage is still not satisfactory, further disassembly as described in the following steps will gain you better access to it and the possibility of a more complete cure.