No. You cannot buy a lappy online unless you already have a mobile phone or SIM contract from EE. You are expected to pay for it along with your existing EE mobile plan. That's why it's telling you to login to upgrade your existing plan or add another device. You have neither of these.
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To phone EE CS: Dial Freephone +44 800 079 8586 - Option 1 for Mobile Phone & Mobile Broadband or Option 2 for Home Broadband & Home Phone
ISPs: 1999: Freeserve 48K Dial-Up => 2005: Wanadoo 1 Meg BB => 2007: Orange 2 Meg BB => 2008: Orange 8 Meg LLU => 2010: Orange 16 Meg LLU => 2011: Orange 20 Meg WBC => 2014: EE 20 Meg WBC => 2020: EE 40 Meg FTTC => 2022: EE 80 Meg FTTC (no landline number)
