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is it because TempData only consists of Floats
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It's because your members (bd_*) are floats and TempData would be a float too, same tag, no error.
It's fine to do it like that, if you have only floats as members.
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if it consisted of a float and an integer I would need to declare it as usual without Float type
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In case of others type then float, you have to cast the value.
new TempData[PosData];
new Float:origin[3];
TempData[bd_pos] = origin;
In this example, TempData is untagged, while origin is tagged with Float. That's why you have an error.
To remove the error, you have to untag origin, by doing either "_:origin" or "any:origin".
As note, you have only an error with strong tag (started by an upper-case letter). If origin was using a weak tag (started by an lower-case letter), the compiler casts implicitly the value.
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