The general solution to these sorts of issues:
Save a screenshot.
Examine the screenshot, e.g., with preview. move it around the screen.
is the defect in the screenshot?
--yes, the fault is in the computer (graphics card is soldered to the mainboard, not separately replaceable.)
--no, then the fault is in the display itself, and it is worthwhile connecting to an external display or TV set.
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In this specific case:
If restarting, such as in Safe mode, does not get rid of the vertical stripe for even a minute, the defect is in the display.
Full-height Vertical artifacts are a display problem.
Readers are eager to provide additional advice on any facet of such a problem.