Evaporate the liquid away. This would also leave other sediment so to get just the sugar you would probably then have to use a centrifuge to separate the various sediments.
boil it all in a kettle - this will leave you with salt grains and sugar particles
because sugar separates from tea!
Dissolve... mixing with the tea.
no
Stirring makes it faster for the sugar to completely dissolve in the tea.
Yes both will weight the same. Because the sugar merrily dissolves in the tea.
Hot tea is capable of dissolving more sugar than iced tea.
Stirring sugar into a cup of tea is a chemical change because when you evaporate the tea you can not get the sugar back, instead you get a mixture of glucose and fructose. It is also a chemical change.
a sugar cube
no
The cup of tea would become excessively sweet (sugary).
zero
It wouldn't harm you, I suppose you could but it wouldn't be the best cup of tea. :)