Great tank to date
Green water (algae) can be clear, certainly the time scale (re water change, followed by return to "green") is fitting for green "water" ... you can try to just wait it out, or try a "clarifying" product such as
Seachem's Clarity, note that efficacy of these products is often pH & hardness dependent, if you decide to use one, I'd contact the manufacturer & discuss details of how the particular product "works" - general warning is that they often sequester oxygen & may significantly alter your pH.
With garden hoses, check that it is suitable for drinking water, in my area all hoses are treated with algaecides/fungicides unless they are sold as food safe.
ETA: other GW options ...
- add live Daphnia culture (most fish will happily eat the daphnia)
- decrease the water changes & wait to see of GW will clear that easily (eg, 2 weeks no water change)
- micron filter to remove particles (including GW), sometimes you can find a lfs that will loan/rent you one of these
- UV lamp system... maybe, look at the lamp energies & "kill" energies needed for your organism of interest
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eventually all GW does spontaneously clear