As the Torah will recount, Noah did not leave the ark until G‑d told him to do so. So what was the purpose of seeing if the land was dry by sending out these birds?
The answer is that since G‑d had entrusted him with the survival of life, Noah felt responsible to take whatever natural steps would encourage G‑d to hasten the renewal of life on earth.
The pain of exile is compared to the raging waters of the Flood. Like the Flood, only G‑d can end the exile. But, like Noah, we can hasten the redemption by actively yearning for it and doing all in our power to hasten its arrival.1

Yes, not to wait but to steps in the right direction and to take personal ownership in bringing heaven on earth.
Only then will Hashem find himself a dwelling place. Let's take action.