New words are not entered into a text document, how to fix it?

Question

Python

For some reason, the word is entered into the text document only starting from the second input, what could be the problem and how to fix it?

.
                fest = open("est.txt", "a")
                feng = open("eng.txt", "a")
                while True:
                    word1 = input("Sisestage sõna eesti keeles: ")
                    word2 = input("Sisestage seda sõna inglise keeles: ")
                    if word1 != "" or word2 != "" or word1 != "" and word2 != "":
                        word1 = word1.lower()
                        word2 = word2.lower()
                        fest.write(word1 + "\n")
                        fest.write(word2 + "\n")
                        print("Uued sõnad on lisanud mängule ( EST: " + word1 + ") | ENG: " + word2 +" )")
                    else:
                        fest.close()
                        feng.close()
                        print("Viga sõnades!")
                        break

Answer 1

.
             while True:
                    fest = open("est.txt", "a")
                    feng = open("eng.txt", "a")
                    word1 = input("Sisestage sõna eesti keeles: ")
                    word2 = input("Sisestage seda sõna inglise keeles: ")
                    if word1 != "" or word2 != "" or word1 != "" and word2 != "":
                        word1 = word1.lower()
                        word2 = word2.lower()
                        fest.write(word1 + "\n")
                        feng.write(word2 + "\n")
                        print("Uued sõnad on lisanud mängule ( EST: " + word1 + ") | ENG: " + word2 +" )")
                    else:
                        fest.close()
                        feng.close()
                        print("Viga sõnades!")
                        break