Uranium235
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It won't work (because I tried and it didn't).
There are 3 rectangles inside, each with 5 segments. There are no problems with the two upper right and upper left ones; 2 entrances - 2 exits.
But where there are 5 sides, the line must either enter twice and exit three times, or enter three times and exit twice. For two of them, the problem can be solved because we have free ends of the line (so we can start inside one and end inside another), but the line cannot pass through the third rectangle with 5 segments. (that is, it enters and exits, enters and exits, and for the fifth side, it needs to enter and stay there).
I'm slow.
There are 3 rectangles inside, each with 5 segments. There are no problems with the two upper right and upper left ones; 2 entrances - 2 exits.
But where there are 5 sides, the line must either enter twice and exit three times, or enter three times and exit twice. For two of them, the problem can be solved because we have free ends of the line (so we can start inside one and end inside another), but the line cannot pass through the third rectangle with 5 segments. (that is, it enters and exits, enters and exits, and for the fifth side, it needs to enter and stay there).
I'm slow.