Here are some possible additional kavanot one might want to have this year while praying and reciting the word תשכון, which has the gematria of 776. These should not replace the kavanot one already has while praying, but can possibly be put into one's mind in addition to one's original kavannot. Obviously, the plain meaning of the Shechina resting in the Beit Hamikdash is still intact. This is an additional possible hint to the current year. If unsure whether you can or should have these kavanot or not, please ask your local knowledgeable Orthodox rabbi.
Sephardic (Edot Hamizrah) weekday Amidah:
1) In addition, the gematria of 'תִּשְׁכּון בְּתוךְ יְרוּשָׁלַיִם עִירְךָ כַּאֲשֶׁר דִּבַּרְתָּ. וְכִסֵּא דָוִד עַבְדְּךָ מְהֵרָה בְתוכָהּ תָּכִין וּבְנֵה אותָהּ בִּנְיַן עולָם בִּמְהֵרָה בְיָמֵינוּ בא"י בונה י is 5776.
2) h/t Sod1820 chat