Making only part of a label bold while using geom_label_repel() in ggplot

I have a dataset:

How to label out of bound point?

For x or y have Inf value, how to label the point?

Labels with ggrepel::geom_text_repel, not all labels showing

geom_text_repel doesn’t display the labels for several several points where y is 0:

control x position using ggrepel

I am using the library ggrepel to avoid label overlapp.