Learn Polish: Zawsze byśmy mieli nieograniczony budżet. - We would always have an unlimited budget.

In Polish, the conditional particle by (along with personal endings like -śmy) is highly mobile. While it often attaches to the verb (zawsze mielibyśmy), it can also attach to the first stressed word in the clause to emphasize it. Here, attaching it to zawsze places special emphasis on the fact that we would always have that budget.

If byśmy takes the ending, what form does the verb mieli take?

The verb is left in the third-person past tense form. Because the first-person plural ending -śmy has moved to the conditional particle by, the verb is stripped down to mieli (the third-person plural past form for masculine personal groups). If a group of women were speaking, the sentence would be zawsze byśmy miały.

Could I attach byśmy to the word nieograniczony instead?

No, the floating conditional particle usually attaches to the very first stressed word in the clause (like conjunctions, pronouns, or adverbs such as zawsze), or it stays attached to the verb. Moving it into the middle of the sentence onto an adjective breaks this structural rule and sounds completely unnatural.

Why is the object nieograniczony budżet in the accusative case? Don't conditional sentences sometimes change this?