making it actually work properly

code/modules/reagents/chemistry/reagents/alcohol_reagents.dm

@@ -574,7 +574,7 @@ All effects don't start immediately, but rather get worse over time; the rate is
 	if(AmBloodsucker(C))
 		disgust_bloodsucker(FALSE, 1) //Bloodsuckers get SOME blood from it, for style reasons.
 	if(C.blood_volume < (BLOOD_VOLUME_NORMAL*C.blood_ratio))
-		C.integrating_blood = min((BLOOD_VOLUME_NORMAL*C.blood_ratio), C.blood_volume + 3) //Bloody Mary quickly restores blood loss.
+		C.integrating_blood += 3 //Bloody Mary quickly restores blood loss.
 	..()
 
 /datum/reagent/consumable/ethanol/brave_bull

code/modules/reagents/chemistry/reagents/medicine_reagents.dm

@@ -411,7 +411,7 @@
 		var/amount_to_add = min(M.blood_volume, volume*5)
 		var/new_blood_level = min(M.blood_volume + amount_to_add, maximum_reachable)
 		last_added = new_blood_level - M.blood_volume
-		M.integrating_blood = new_blood_level + extra_regen
+		M.integrating_blood += extra_regen
 	if(prob(33))
 		M.adjustBruteLoss(-0.5*REM, 0)
 		M.adjustFireLoss(-0.5*REM, 0)

code/modules/reagents/chemistry/reagents/other_reagents.dm

@@ -48,7 +48,7 @@
 		var/mob/living/carbon/C = L
 		var/blood_id = C.get_blood_id()
 		if((HAS_TRAIT(C, TRAIT_NOMARROW) || blood_id == /datum/reagent/blood || blood_id == /datum/reagent/blood/jellyblood) && (method == INJECT || (method == INGEST && C.dna && C.dna.species && (DRINKSBLOOD in C.dna.species.species_traits))))
-			C.integrating_blood = min(C.blood_volume + round(reac_volume, 0.1), BLOOD_VOLUME_MAXIMUM * C.blood_ratio)
+			C.integrating_blood += round(reac_volume, 0.1)
 			// we don't care about bloodtype here, we're just refilling the mob
 
 	if(reac_volume >= 10 && istype(L) && method != INJECT)