Drawing a path spline with beam particle emitter

Hey everyone!
I need to draw a line following a path. Before I used a mesh spline which gives an ok result but isn’t really performance friendly compared to particles I think.
So I tried with a beam particle. But here I have the problem I don’t know how to dynamically add more target points. I tried placing a new emitter on every point but this leaves a small gap between them.

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I already looked at different old unrealanswer topics but they never completely explain it.
I’ll admit, particles and tangent stuff of splines are not really my strong suit…

Would love if someone had an answer for this! :smiley:
Thanks