I'm obviously a little late to the party so my apologies.
British common types would always refer to a "cuppa char", the word "char" comes from a Chinese word "tcha" meaning tea but is mostly associated with the British in India where they had a "char wallah" who was a local who sold freshly brewed tea. The British military appears to have kept that word alive in some cases, where "a cuppa char and a wad" is a cup of tea served with a slice of cake.
Again with the British miitary "NATO standard" is a term used to describe tea and coffee, white with two sugars. Variations on that are described by referring to celebrities of different ethnic backgrounds, for example after the sound of music because popular a "Julie Andrews" was used to describe tea with milk and no sugar (Ms Andrews Character was a White Nun). Likewise, when Whoopi Goldberg starred in "Sister Act", a cup of tea without milk or sugar (Black, Nun) was "A Whoopi". Tea with one sugar was either a "Linford Christie" (Black with one lump) or a "Steve Redgrave" (White with one lump). I do not know of an example where a "brew" or a "wet" (alternative military terms for tea, depending on the branch of the military you were a member of) with more than two sugars had a nickname.
Sir Terry Pratchett referred to the preferred tea of Sir Samual Vimes as "boiled orange in a builders boot with two sugars and yesterdays milk"., which anyone who has worked shifts in work place will appreciate. There is a class of beverage in the UK known as "builders tea" which tends to be very strong and sweet and fits that description, and again the British military had perfected the method of providing tea for the troops in that manner. Days out at the shooting range or on exercise meant you were issued with a packed lunch each and an urn of tea for the group which was prepared before you left. By lunchtime it was literally an orange colour but still tasted great.
For me I start the day with a pint mug of tea. I boil the kettle when I get up, put the boiled water and teabag (English Breakfast or Irish Breakfast, Tetleys is expensive here...) in the mug and then it sits there and infuses while I feed the dog and make my breakfast. By the time I have everything made I remove the tea bag, pour in some milk and off I go. Through the day I will have three of four cups of tea, definitely one with my lunch, and have been known to use tea making as an excuse to avoid people or delay my answer (which gives me time to think of a response or alibi...).
Finally, I give you a short clip from a feature film that epitomises the British military and tea drinking....