I disagree and here's why:
::: spoiler Spoilers
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you mean "over for Innie Mark", I think, and my answer is: not necessarily. Integration is still possible, as well as Mark had Mrs Cobel available to him who designed the technology to begin with.
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they have the power to wipe Innie minds clean. They did this with Gemma dozens of times. Innie Mark has no chance of finding a safe place inside the Lumen building. By staying inside he guaranteed Innie Mark will be a Lumen slave until they dispose of him just like they were planning to do with Gemma.