As backpacker stated, what the Georgian law states and how it's interpreted are 2 different things. Only experience on the ground nows what the final result will be. Everything else is speculation.
Sensible advice reads like this: You can read material online for years and still not fully understand all the tax traps. The pretty carefree good old days of floating around tax free or very low tax are gone. Now minimising tax is more like a science.
Also, in relation to comments / posts that mention countries other than the 3 in the original post, note some countries will claim you as tax resident if you do not spend more days in any other country (or in the country where you are supposed to have tax residency) - one example is France. So 60 days in Cyprus and then 61 days in France and whoops.
I have read the Isle of Man will provide tax residency from the start of a committed 5 year stay based on 90 days in IoM each year, so like the Cyprus 60 days regime there are options... but the catch is what are the rules in the other country you will spend time in? Cyprus rule states must not be tax resident anywhere else.. and countries like France will claim you if you spend more time there than in say IoM or Cyprus. Don't expect Cyprus to stand up and fight for you.
Its a very complex web and its important to not take risks in countries where tax evasion / treaty shopping etc is a crime - as these days a crime in your record restricts options for future residency, or for even just some travel like entering the UK for example.
Newbies... Don't act on advice found on the internet alone...and what one person might get away with (up till now) due to their own unique circumstances does not mean another person will enjoy the same success, or that the door might not close later on the first person recommending the route. Tax offices can take their time to entwine you before they bite.
On a related subject, since some posters are seeking online information they might actually act on - in the end it's like self assessment because in the end the responsibility rests with you. Sometimes self assessment based on insufficient info is like claiming tax deductions when filling out tax self assessment declarations - its easy to take a course of action originally especially if it looks like an easy enough option based on what you know - but for example in Italy the penalties for getting your self assessment wrong can be very serious. The days of floating around and not leaving a trail are pretty much gone... so just be ready for the seemingly easy plan might unravel and understand how far reaching the consequences and penalties will be.. and what will you do then? Some people have been keeping a very low profile for years and know how to stay that way - while others simply don't know if and when they are making a misstep.
The reality is, large tax offices know more about tax minimisation options (such as PT'ing) than most PT's do

. So, if you have an income high enough then you will become (sooner or later) a person of interest- as most governments are willing to try almost anything within their powers to increase revenues. Get it wrong and some will take away your passport. My friend is currently under threat from the AU gov for them to cancel his Aussie passport over unpaid taxes. He didn't know the fine details of the AU tax residency rules well enough and therefore his low tax PT'ing life style is biting him on the bum pretty hard right now. He is looking at a criminal record, a cancelled Au passport, and frankly who wants the bother? These days newbies are best to get legal tax residency advice from a lawyer with professional indemnity insurance... its not that all lawyers have anything great to propose, its just so when their advice goes wrong you can sue them. Remember in some countries asking your accountant for tax minimisation advice means the accountant will flag you to the tax office. We help each other as best we can... but newbies should proceed with great caution.