I did some math. To confirm my math is correct, do you have 58760 Armour under the same buffs as the first screenshot?
If this is correct, then that extra 1175.2 Tactical Mitigation is from Guardian's Defence (the 1st side-line trait). It gives 10% Armour. So, given that:
1. Armour contributes 100% of it's value to Physical Mitigation and 20% of it's value to Tactical Mitigation,
2. Your Physical Mitigation before applying traits (and therefore before receiving Guardian's Defence 10% Armour buff) was 59610, and
3. Your Physical Mitigation after applying traits (and therefore after receiving Guardian's Defence 10% Armour buff) was 65486.
It's possible to calculate the amount of Tactical Mitigation received by Guardian's Defence.
Physical Mitigation Added = 65486-59610 = 5876
Armour contributes 100% of it's value to Physical Mitigation (so 1 point of Armour = 1 point of Physical Mitigation).
Therefore, you received 5876 Armour from Guardian's Defence.
Armour contributes 20% of it's value to Tactical Mitigation (so 1 point of Armour = 0.2 points of Tactical Mitigation).
5876 * 0.2 = 1175.2
Therefore, you received 1175.2 Tactical Mitigation from Guardian's Defence (most likely rounded to 1175).
Your Tactical Mitigation before applying your traits (and therefore Guardian's Defence 10% Armour value) is 45083.
If we add 1175.2 to your Tactical Mitigation of 45083, we should receive your Tactical Mitigation (or close to it due to rounding).
45083 + 1175.2 = 46258.2 Tactical Mitigation.
*double checks screenshot*
After applying traits, your Tactical Mitigation is 46258.
In order to confirm that the basis for my math (The armour value gained from Guardian's Defence) is correct, I'd like to see your Armour value before applying your traits in that screenshot.
So, if your Armour value is indeed 58760 before applying traits, then that extra Tactical Mitigation after applying traits is from Guardian's Defence, and since even if Guardian's Ward was applied before taking the first screenshot it applied no Tactical Mitigation, meaning that based on the data provided you didn't have Guardian's Ward up on the second screenshot according to the math.
https://lotro-wiki.com/index.php/Guardian's_Defence
https://lotro-wiki.com/index.php/Gua...ard%3A_Tactics
https://lotro-wiki.com/index.php/Guardian's_Ward