Re: Leaky feeders in the workshop.
Rather than a leaky-feeder, I'd go the 'passive repeater' path: connect the incoming coax to a half-wave dipole inside your workshop.
[In the past I did this to deliver FM radio-broadcasts to the inside of a shipping-container: OK, I also interposed a +16dB gain 'distribution amplifier' in the signal-path to help out a bit]
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