1
× In 2050 even we might have a robot friend.
√ In 2050 we might even have a robot friend.
√ In 2050 we might have even a robot friend.
Even emphasizes one element in the sentence, so we must put it before the element we want to emphasize, or if we use it with the verb, it goes before the verb or after the first auxiliary.
2
× Even though you help me, I won’t finish in time.
√ Even if you help me, I won’t finish in time.
Even though means despite the fact that. It’s similar in meaning to though and although, but more emphatic.
Even if means whether or not.
Compare these sentences:
Even though I study hard, I won’t pass the exam. (I study hard, but although I study hard, I won’t pass the exam.)
Even if I study hard, I won’t pass the exam. (I won’t pass the exam whether I study hard or not)