Solutions :

3-letter words (1 point): 43

AGE; AIA; AIT; ARE; ART; ATE; ATT; AUE; DEE; DEG; DEI; DUE; DUG; DUI; EAR; EAT; ERA; ETA; GAU; GED; GEE; GET; GIE; GIT; GUE; ITA; JAG; JAI; JIG; RAI; RAT; REE; RET; TAE; TAI; TAR; TEA; TED; TEE; TEG; TET; TIE; TIG.

4-letter words (1 point): 37

AGED; AGEE; AGUE; AIGA; ARET; ARTI; DEER; DEET; DUIT; EDGE; EUGE; GAIT; GAUD; GEED; GEIT; GETA; GIED; GITE; GUDE; RAIA; RAIT; RATE; REED; RETE; TAIG; TARE; TEAR; TEAT; TEED; TEER; TEGU; TETE; TIAR; TIED; TIGE; TREE; TRET.

5-letter words (2 points): 16

AGITA; AGUED; ARETE; ARETT; DETER; GAITT; RATED; REATE; REEDE; RETIA; RETIE; TAIGA; TEGUA; TERAI; TETRA; TREED.

6-letter words (3 points): 15

AUGITE; DUGITE; GAITED; GAITER; GETTER; GITTED; GUITAR; JITTER; RAITED; RATTED; RETIED; RETTED; TEATED; TEETER; TERTIA.

7-letter words (7 points): 2

ARETTED; ITERATE.

8-letter word (11 points): 1

ITERATED.